Interface IBoundaryCondition<T>

Namespace

AiDotNet.PhysicsInformed.Interfaces

Assembly

AiDotNet.dll

Defines boundary conditions for a PDE problem.

public interface IBoundaryCondition<T>

Type Parameters

T

The numeric type.

Remarks

For Beginners: Boundary conditions specify what happens at the edges of your problem domain. For example, in a heat equation, you might specify the temperature at the boundaries of a rod. Common types:

• Dirichlet: The value is specified at the boundary (e.g., temperature = 100°C)
• Neumann: The derivative is specified at the boundary (e.g., heat flux = 0, meaning insulated)
• Robin: A combination of value and derivative

Properties

Name

Gets the name of the boundary (e.g., "Left Wall", "Top Edge").

string Name { get; }

Property Value

string

Methods

ComputeBoundaryResidual(T[], T[], PDEDerivatives<T>)

Computes the boundary condition residual. For a perfect solution, this should be zero at all boundary points.

T ComputeBoundaryResidual(T[] inputs, T[] outputs, PDEDerivatives<T> derivatives)

Parameters

inputs T[]

The boundary point coordinates.

outputs T[]

The predicted solution at the boundary.

derivatives PDEDerivatives<T>

The derivatives at the boundary (needed for Neumann/Robin conditions).

Returns

T

The boundary residual (should be zero for a perfect solution).

IsOnBoundary(T[])

Determines if a point is on the boundary.

bool IsOnBoundary(T[] inputs)

Parameters

inputs T[]

The coordinates to check.

Returns

bool

True if the point is on the boundary.